Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
66b |
Isogeny class |
Conductor |
66 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4356 = 22 · 32 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22,-49] |
[a1,a2,a3,a4,a6] |
j |
1180932193/4356 |
j-invariant |
L |
1.1021925301216 |
L(r)(E,1)/r! |
Ω |
2.2043850602432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
528j2 2112r2 198a2 1650f2 |
Quadratic twists by: -4 8 -3 5 |